Every rational number 1 + p/q with q > p^2 is shown to be the exact growth exponent of some bipartite Turan problem.
Conlon, Graphs with few paths of prescribed length bet ween any two vertices, Bull
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Many Turan exponents via subdivisions
Every rational number 1 + p/q with q > p^2 is shown to be the exact growth exponent of some bipartite Turan problem.